506000610 has 48 divisors (see below), whose sum is σ = 1319216184. Its totient is φ = 134562816.

The previous prime is 506000587. The next prime is 506000617. The reversal of 506000610 is 16000605.

506000610 is a `hidden beast` number, since 5 + 0 + 600 + 0 + 61 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 409941009 + 96059601 = 20247^2 + 9801^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (506000617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26034 + ... + 41106.

Almost surely, 2^506000610 is an apocalyptic number.

506000610 is an abundant number, since it is smaller than the sum of its proper divisors (813215574).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506000610 is a wasteful number, since it uses less digits than its factorization.

506000610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15459 (or 15456 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 506000610 is about 22494.4573173037. The cubic root of 506000610 is about 796.8630330844.

The spelling of 506000610 in words is "five hundred six million, six hundred ten", and thus it is an aban number.